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Finding the Fourth Proportional to 2,071.98, 3,122.25 and 1,714.80

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Solution

The fourth proportional to 2,071.98, 3,122.25 and 1,714.80 is: 2,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.98 : 3,122.25 = 1,714.80 : x
  2. Step 2: Convert to fraction form
    2,071.98/3,122.25 = 1,714.80/x
  3. Step 3: Cross multiply
    2,071.98x = 3,122.25 × 1,714.80
  4. Step 4: Simplify right side
    2,071.98x = 5,354,034.30
  5. Step 5: Solve for x
    x = 5,354,034.30/2,071.98
  6. Step 6: Final answer
    x = 2,584.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.